Home
Class 12
MATHS
Let int (cos x dx)/(sin^3 x (1 + sin^6 x...

Let `int (cos x dx)/(sin^3 x (1 + sin^6 x))^(2/3) = f(x), (1 + sin^6 x )^(1/lambda) + C` then find the value of `lambda f(pi/3)`

A

`-9//8`

B

`9//8`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE ( MAIN) 2020 QUESTIONS WITH SOLUTIONS B.ARCH (6TH JAN -MORING)

    MCGROW HILL PUBLICATION|Exercise Question|25 Videos
  • JEE (MAIN) 2020 QUESTION PAPER (7TH JAN - AFTERNOON)

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Question|25 Videos

Similar Questions

Explore conceptually related problems

Let f(sin x)=(1-sin^(5)x)^((1)/(5)) then what is the value of f(f(cos x))

int_ (lambda =) (dx) / (sqrt (1-tan ^ (2) x)) = (1) / (lambda) sin ^ (- 1) (lambda sin x) + C, then

" Let " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f(0) and f' (pi//2) .

If f(x)=lambda|sin x|+lambda^(2)|cos x|+g(lambda) has a period =(pi)/(2) then find the value of lambda

int_(, then f(x))^( If )(dx)/(x^(3)(1+x^(6))^(2/3))=x*f(x)*(1+x^(6))^(1/3)+C

If F(x)=int((1+sin x)/(1+cos x))dx and F(0)=0 then the value of F(pi/2) is

int(sin x)/(cos^(3)x(1+cos^(8)x)^(3/4))*dx=f(x)*(1+cos^(8)x)^((1)/(lambda))+c Then lambda*f((pi)/(3))=

int(sin x)/(cos^(3)x(1+cos^(8)x)^(3/4))*dx=f(x)*(1+cos^(8)x)^((1)/(lambda))+c Then lambda*f((pi)/(3))=

If f(x)=x+sin x, then find the value of int_(pi)^(2 pi)f^(-1)(x)dx

"Let f(x) "=|{:(cos x" " sin x" " cos x),(cos 2x" "sin 2x" "2cos 2x),(cos 3x" "sin 3x" "3cos 3x):}|" Then find the vlue of "f'(0) and f'(pi//2).

MCGROW HILL PUBLICATION-JEE (MAIN) 2020 QUESTION PAPER MATHEMATICS (8TH JAN - MORNING) -QUESTIONS
  1. The locus of a point which divides the line segment joining the point ...

    Text Solution

    |

  2. For a > 0, let the curves C(1) : y^(2) = ax and C(2) : x^(2) = ay int...

    Text Solution

    |

  3. f(x) = (8^(2x) - 8^(-2x))/(8^(2x) + 8^(-2x) find the inverse of the fu...

    Text Solution

    |

  4. lim(xrarr0) ((3x^2 + 2)/ (7x^2 +2))^(1/x^2) is equal to

    Text Solution

    |

  5. Let f(x) = {(sin (tan^(-1) x) + sin (cot^(-1) x)}^2 - 1, where |x| gt ...

    Text Solution

    |

  6. Roots of the equation x^2 + bx + 45 = 0, b in R lie on the curve |z + ...

    Text Solution

    |

  7. Mean and standard deviations of 10 observations are 20 and 2 respectiv...

    Text Solution

    |

  8. Let int (cos x dx)/(sin^3 x (1 + sin^6 x))^(2/3) = f(x), (1 + sin^6 x ...

    Text Solution

    |

  9. Let A and B be two independent events such that P(A) = 1/3 and P(B) = ...

    Text Solution

    |

  10. Let the volume of a parallelopiped whose coterminus edges are given by...

    Text Solution

    |

  11. Let two points be A(1,-1) and B(0, 2). If a point P(x', y') be such t...

    Text Solution

    |

  12. If the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/...

    Text Solution

    |

  13. Let the line y=mx and the ellipse 2x^(2)+y^(2)=1 intersect at a point ...

    Text Solution

    |

  14. If c is a point at which Roll's theorem holds for the function, f(x) =...

    Text Solution

    |

  15. Let f(x) = x cos^(-1)(sin-|x|), x in (-pi/2,pi/2)

    Text Solution

    |

  16. An urn contains 5 read marbels,4 black marbels and 3 white marbles. Th...

    Text Solution

    |

  17. If normal at P on the curve y^2 - 3x^2 + y + 10 = 0 passes through the...

    Text Solution

    |

  18. The equation 2x^2 + (a - 10)x + 33/2 = 2a has real roots. Find least p...

    Text Solution

    |

  19. Find the sum, sum(k=1) ^(20) (1+2+3+.....+k)

    Text Solution

    |

  20. The number of 3xx3 matrices with entries from the set {-1, 0,1} such t...

    Text Solution

    |